Edit 2: Also found this paper https://www.medrxiv.org/content/10.1101/2021.07.01.21259833v1 and this article https://www.science.org/content/blog-post/vaccines-will-not-produce-worse-variants which say that vaccines reduce the tendency for mutations by blocking some of the intermediary steps needed to generate a new variant - 'Unvaccinated patients exhibit more antigenic mutational variance'.
The article talks about how if we wanted to induce resistance in a virus to a drug, we could do it by repeatedly exposing it to an insufficient amount of the drug. Over the generations, only the strains of virus that can overcome the reduced amount of drug will survive and ultimately one will arise that is fully resistant.
But the author doesn't seem to appreciate that this is what mass vaccination during a pandemic does. While the antibodies are building up in vaccinated individuals, that is when the selection is occurring, due to the fact that those individuals are already being exposed to the virus. There is no question that the vaccines prevent infection once they have fully primed the immune system - I know I stated a few posts ago that they do not, so just to clarify, that means during the few weeks after vaccination, as well as when waning.
I'm also not claiming that the variants of concern arose because of vaccination. They arose as a result of short-lived antibody build-up (following natural infection) that does not eliminate the virus but does suppress innate immunity, thereby allowing infection and facilitating natural selection of fitter strains due to the partial resistance of those short-lived spike-specific antibodies.
GVB describes how a natural pandemic ruins its course in his video on YouTube, "Asymptomatic Infection results in more infectious Covid-19 strains". (from about 6 -24 minutes).
What he doesn't do is finish explaining how the third wave ends. But that wave is due to the virus becoming more infectious as a result of the above process.
His claim is that if we mass vaccinate on top of the natural tendency for immune pressure to select for fitter variants, we put more and more suboptimal antibodies into the population and thus allow the fitter strains to become dominant, and so the pandemic is prolonged.